QG-L4: 1st QG-Quasi Euler line

MATHEMATICS

Chris van Tienhoven

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QG-L4: 1st QG-Quasi Euler line

The 1^st QG-Quasi Euler line is the line through QG-P4 (1^st Quasi Centroid), QG-P5 (1^st Quasi Circumcenter), QG-P6 (1^st Quasi Orthocenter) and QG-P7 (1^st Quasi Nine-point Center).

This line is also mentioned in Ref-15i and Ref-30 (page 290).

QG-Tr1-1st-QuasiDiagonalTriangle-01

Coefficients:

The coefficients of QG-L4 can be easily derived by calculating the Crossdifference (see Ref-13, keyword: crossdifference) of QG-P4 and QG-P5.

Properties:

QG-L4 is the Euler line of the 1^st QG-Quasi Diagonal Triangle QG-Tr1.
The 1^st QG-Quasi Euler line QG-L4 // the 2^nd QG-Quasi Euler line QG-L5.
QG-P1 is the Railway Watcher (see QL-L-1) by the 1st QG-Quasi Euler line QG-L4 and the 2nd QG-Quasi Euler line QG-L5 (note Eckart Schmidt).

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